As mentioned.. there are plenty of internet cafes that you can use -- I know at some, that if you want to use your own computer, they may have to give you the wireless ID as the SSID is not broadcast, so they provide the info and you input it into your computer to access.
Some bars also have wifi for free -- grab a beer and email away.
I also would stay away from financial websites unless your own computer or you are confident that key logging programs or similar are not installed. This is a growing problem around the world.